Question

Rationalize the denominator (√5 + √2) / ((√7 +√6)
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Answer 1

Answer:

Rationalise the denominators of the following:

(i)

7

1

(ii)

7

−

6

1

(iii)

5

+

2

1

(iv)

7

−2

1

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Answer 2

Step-by-step explanation:

multiply and divide with

$\sqrt{7} - \sqrt{6}$

so

$\frac{ \sqrt{5} + \sqrt{2} }{ \sqrt{7} + \sqrt{6} } \times \frac{ \sqrt{7} - \sqrt{6} }{ \sqrt{7} - \sqrt{6} }$

$\frac{ \sqrt{5 \times 7} + \sqrt{2 \times 7 -} - \sqrt{5 \times 6} - \sqrt{2 \times 6} }{7 - 6}$

$\frac{ \sqrt{35} + \sqrt{14} - \sqrt{30} - \sqrt{12} }{1}$